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Finding the Fourth Proportional to 120,841.32, 166,757.58 and 67,125

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Solution

The fourth proportional to 120,841.32, 166,757.58 and 67,125 is: 92,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,841.32 : 166,757.58 = 67,125 : x
  2. Step 2: Convert to fraction form
    120,841.32/166,757.58 = 67,125/x
  3. Step 3: Cross multiply
    120,841.32x = 166,757.58 × 67,125
  4. Step 4: Simplify right side
    120,841.32x = 11,193,602,557.50
  5. Step 5: Solve for x
    x = 11,193,602,557.50/120,841.32
  6. Step 6: Final answer
    x = 92,630.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.